Solution of 2 y" = 1+y'² is

Q: y = Arctan ( 2+x 1-2x

A: We have to find derivative

Q: Solve y'y" = 1.

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Q: 26. da (x² cos y+ sin 2y) =(ry) x(- sin y y') + (cos y)(2z) + cos 2y - 2y = x-y' +y·1 = %3D %3D dx…

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Q: solve for y  2xy^2 + 4 = 2(3-x^2y)y', y(-1) = 8

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Q: Solve for the equation by equating coefficients: y′′ − 3y′ + 2y = 2x^2 + e^x + 2xe^x + 4e^(3x)

A: The given differential equation is: y''−3y'+2y=2x2+ex+2xex+4e3x

Q: Solve x' = 3xt²-3t², x (0) = 2.

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Q: Differentiate. y = In (6x? - 5x + 3) y' =O

A: Given: y=ln6x2-5x+3 We know that ddxlnx=1x…

Q: y = 3t 1+t³ X= 3t 31² 1+t²³

A:

Q: Sx-4/5 dx

A: Given, I=∫x-45dx

Q: 12 -9 X' 4

A: Given that, X' = AXwhere,A = 12-940 We know that the root (eigen value) of the matrix can be…

Q: 3t 2x"-2x'-4x = 2e" 5.

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Q: Solve  y'' - 81y = 0

A: You can solve by finding auxiliary equation

Q: Solve y'= 3y.x² 3 x³ + 2y4

A: This question can be solved using the concept of linear differential equation.

Q: /6- х2 dx

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Q: solve for x^2y'=4x^2+7xy+2y^2 that the answer should be

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Q: find dp/ dq. sin q + cos q = cos q

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Q: 1 = felan(4x*). sec²(4x²)xde 2

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Q: Solve for z. (2-i)z+8z^2=0

A: Given equation is, (2-i)z+8z2=0

Q: 40000y" - 81y = 0 y(0) = 4 , y'(0)= 9

A:

Q: Solve, y'+ y^2cos(2x) = 0

A: 1 have solved by separation of variables methods